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Finding the Fourth Proportional to 42,420, 58,539.60 and 24,756

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Solution

The fourth proportional to 42,420, 58,539.60 and 24,756 is: 34,163.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,420 : 58,539.60 = 24,756 : x
  2. Step 2: Convert to fraction form
    42,420/58,539.60 = 24,756/x
  3. Step 3: Cross multiply
    42,420x = 58,539.60 × 24,756
  4. Step 4: Simplify right side
    42,420x = 1,449,206,337.60
  5. Step 5: Solve for x
    x = 1,449,206,337.60/42,420
  6. Step 6: Final answer
    x = 34,163.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.